# 11 15 17 triangle

### Acute scalene triangle.

Sides: a = 11   b = 15   c = 17

Area: T = 81.26599993847
Perimeter: p = 43
Semiperimeter: s = 21.5

Angle ∠ A = α = 39.59332587094° = 39°35'36″ = 0.69110327261 rad
Angle ∠ B = β = 60.35331677636° = 60°21'11″ = 1.05333614915 rad
Angle ∠ C = γ = 80.0543573527° = 80°3'13″ = 1.3977198436 rad

Height: ha = 14.77545453427
Height: hb = 10.83546665846
Height: hc = 9.56599999276

Median: ma = 15.05882203464
Median: mb = 12.19663109177
Median: mc = 10.03774299499

Inradius: r = 3.78795348551
Circumradius: R = 8.63297071783

Vertex coordinates: A[17; 0] B[0; 0] C[5.44111764706; 9.56599999276]
Centroid: CG[7.48803921569; 3.18766666425]
Coordinates of the circumscribed circle: U[8.5; 1.49105857853]
Coordinates of the inscribed circle: I[6.5; 3.78795348551]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 140.4076741291° = 140°24'24″ = 0.69110327261 rad
∠ B' = β' = 119.6476832236° = 119°38'49″ = 1.05333614915 rad
∠ C' = γ' = 99.9466426473° = 99°56'47″ = 1.3977198436 rad

# How did we calculate this triangle?

Now we know the lengths of all three sides of the triangle and the triangle is uniquely determined. Next we calculate another its characteristics - same procedure as calculation of the triangle from the known three sides SSS. ### 1. The triangle circumference is the sum of the lengths of its three sides ### 2. Semiperimeter of the triangle ### 3. The triangle area using Heron's formula ### 4. Calculate the heights of the triangle from its area. ### 5. Calculation of the inner angles of the triangle using a Law of Cosines ### 6. Inradius ### 7. Circumradius ### 8. Calculation of medians #### Look also our friend's collection of math examples and problems:

See more informations about triangles or more information about solving triangles.